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Finding the Third Proportional to 241,380 and 337,624

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Solution

The third proportional to 241,380 and 337,624 is: 472,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,380 : 337,624 = 337,624 : x
  2. Step 2: Convert to fraction form
    241,380/337,624 = 337,624/x
  3. Step 3: Cross multiply
    241,380x = 337,624 × 337,624
  4. Step 4: Simplify right side
    241,380x = 113,989,965,376
  5. Step 5: Solve for x
    x = 113,989,965,376/241,380
  6. Step 6: Final answer
    x = 472,242.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.